Global stability of an innovation diffusion model for n products

被引:19
作者
Yu, Yumei [1 ]
Wang, Wendi
机构
[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
[2] SW Univ, Dept Math, Chongqing 400715, Peoples R China
基金
中国国家自然科学基金;
关键词
global stability; innovation; diffusion; competition;
D O I
10.1016/j.aml.2005.11.028
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An innovation diffusion model is extended to n competing products. The globally asymptotic stability of the system is proved by constructing a Lyapunov function. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1198 / 1201
页数:4
相关论文
共 8 条
[1]  
Fergola P., 2000, INT J DIFERENTIAL EQ, V1, P131
[2]  
La Salle J.P., 1976, STABILITY DYNAMICAL, DOI 10.1137/1.9781611970432
[3]   NEW PRODUCT DIFFUSION-MODELS IN MARKETING - A REVIEW AND DIRECTIONS FOR RESEARCH [J].
MAHAJAN, V ;
MULLER, E ;
BASS, FM .
JOURNAL OF MARKETING, 1990, 54 (01) :1-26
[4]  
Rogers EM., 1995, Diffusion of Innovations, V4, DOI DOI 10.1007/978-3-642-79868-9_2
[5]  
Tenneriello C., 2002, RIC MAT, V51, P185
[6]  
THIEME HR, 1992, J MATH BIOL, V30, P755
[7]  
Waltman, 1995, THEORY CHEMOSTAT DYN
[8]  
Yu YM, 2003, COMPUT MATH APPL, V46, P1473, DOI 10.1016/S0898-1221(03)00376-6